উঞ५ॺঞ५ॺ॥থॡজ‫৾ੵॺش‬ভ‫ؙ‬ਸ਼їћ৚३থএ४क़঒૛ધૐ‫ق‬їѕіќফіѕা‫ك‬〔論文〕

㧗࠸ᵓ㐀⢓ᛶࢆ᭷ࡍࡿ㹎㹁ࢢࣛ࢘ࢺᮦࡢ㓄ྜタィᏱ㒊⯆⏘ ᰴ  ṇ఍ဨ ᕤಟ ‫ۑ‬ᐑᮏ ୍㍤Ᏹ㒊⯆⏘ ᰴ      ᕤ༤  㧗ᶫ ᜨ㍜ᴟᮾ⯆࿴ ᰴ  ṇ఍ဨ ᕤ༤  Ἑ㔠  ⏥
Abstract㸸Generation of residual air voids after grouting needs to be prevent as it causes steel colosion.
This study described mix design of the PC grout that has a strong structure viscosity in order to avoid thegeneration of residual air voids, and that does not require to install vents between inlet and outlet. Arheograph, which is a vectorized visible approach of mix design, demonstrated that the use of ultra fineinorganic powder and a specific type of methylcellulose effectively increased structure viscosity anddecreased bleeding of the PC grout. Results of field tests showed good filling properties and pumpabilityof the PC grout.
Key words㸸Plastic viscosity, Yield stress, PC grout, Rheograph㸯㸬ࡣࡌࡵ࡟
࣏ࢫࢺࢸࣥࢩࣙࣥ᪉ᘧࡢPCᵓ㐀≀࡟࠾࠸࡚㸪ࢩ࣮ࢫෆ࡟ᮍ඘ሸ⟠ᡤࡀ⏕ᡂࡍࡿせᅉ࡜ࡋ࡚㸪
඘ሸࡋࡓPCࢢࣛ࢘ࢺࡢඛὶࢀࡸࣈ࣮ࣜࢹ࢕ࣥࢢࡀ࠶ࡿࠋඛὶࢀ࡜ࡣ㸪ᅗ㸫㸯࡛⾲ࡉࢀࡿࡼ࠺࡟㸪PCࢢࣛ࢘ࢺࢆࢩ࣮ࢫෆ࡟඘ሸࡋࡓ㝿㸪ୗࡾ໙㓄࡟࠾࠸࡚PCࢢࣛ࢘ࢺࡢඛ➃㒊ࡀඛ⾜ࡋࡓ≧ែ࡛Ỉᖹ㒊ࡲ࡛฿㐩ࡋࡓ࡜ࡁ㸪ࢩ࣮ࢫᅗ㸫㸯 3& ࢢࣛ࢘ࢺࡢඛὶࢀ  ୖ㠃ࡀ඘ሸࡉࢀ࡚࠾ࡽࡎ㸪ṧ␃✵Ẽࡀ⏕ࡌࡿ⌧㇟ࡢࡇ࡜࡛࠶ࡿࠋࣈ࣮ࣜࢹ࢕ࣥࢢ࡜ࡣ㸪ࢩ࣮ࢫ࡟඘ሸࡉࢀࡓPCࢢࣛ࢘ࢺࡀ◳໬ࡍࡿ๓࡟㸪ᵓᡂᮦᩱࡢศ㞳ࡸỿ㝆࡟ࡼࡾ㐟㞳ࡋࡓỈࡀࢩ࣮ࢫୖ㒊࡟⁀ࡲࡗࡓࡢࡕ㸪Ỉࡢᾘኻ࡟ࡼࡾṧ␃✵Ẽࡀ⏕ᡂࡍࡿ⌧㇟ࡢࡇ࡜࡛࠶ࡿࠋࡇࢀࡽࡢṧ␃✵Ẽࡀ⏕ࡌࡿ⟠ᡤ࡛ࡣ㸪PC㗰ᮦࡢ⾲㠃࡟༑ศ࡞୙ືែ⓶⭷ࡀᙧᡂࡉࢀࡎ㸪㞵Ỉࡸ㓟⣲ࡢ౵ධ࡟ࡼࡿPC㗰ᮦࡢ⭉㣗ࡸ◚᩿ࡀཎᅉ࡜࡞ࡗ࡚㸪PCᵓ㐀≀ࡢ⪏ஂᛶࡀపୗࡍࡿᜍࢀࡀ࠶ࡿࠋPCࢢࣛ࢘࡜ࡢ⢓ᗘࢆ㧗ࡵࢀࡤඛὶࢀࡸࣈ࣮ࣜࢹ࢕ࣥࢢࢆపῶࡍࡿࡇ࡜ࡀ࡛ࡁࡿࡀ㸪⢓ᗘࡀ㧗ࡍࡂࡿ࡜࣏ࣥࣉࡸ࣮࣍ࢫ࡟స⏝ࡍࡿᅽຊࡀ㧗ࡃ࡞ࡾ㸪ỗ⏝ⓗ࡞タഛࡸᶵჾࢆ⏝࠸ࡓ᪋ᕤࡀᅔ㞴࡟࡞ࡿࠋ࡞࠾㸪࣏ࣥࣉᅽຊࡀ2.0MPa௨ୗ㸪ὀධ࣮࣍ࢫ࡟స⏝ࡍࡿᅽຊࡀ0.8MPa௨ୗ࡛࠶ࢀࡤ㸪᪤Ꮡࡢタഛࡸᶵ2)ჾࢆ⏝࠸ࡿࡇ࡜ࡀ࡛ࡁࡿ ࠋ᪤ ࡢPCࢢࣛ࢘ࢺࡣ㸪㐺ᗘ࡞ᅽຊ࡛ὀධ࡛ࡁࡿ⢓ᙎᛶయ࡛࠶ࡾ㸪ࣈ࣮ࣜࢹ࢕ࣥࢢࢆ⏕ࡌ࡞࠸ࡀ㸪102)ᗘ⛬ᗘࡢୗࡾ໙㓄࡛ඛὶࢀࡍࡿ ࠋPCࢢࣛ࢘ࢺὀධ᫬࡟ඛὶࢀࡀண᝿ࡉࢀࡿሙྜ㸪✵㝽ࡀṧ␃ࡋࡸࡍ࠸㢌㡬㒊௜㏆࡟ணࡵ୰㛫᤼Ẽཱྀࢆタࡅࡿ࡞࡝㸪᪋ᕤ᪉ἲࢆᕤኵࡋ࡚ṧ␃✵ẼࡢⓎ⏕ࢆ㜵࠸࡛࠸ࡿࠋ௨ୖࢆ⪃៖ࡍࡿ࡜㸪PCࢢࣛ࢘ࢺࡢ㓄ྜタィ࡟ࡣ㸪ୗࡾ໙㓄㒊࡟࠾࠸࡚ඛὶࢀࡋ࡟ࡃࡃ㸪ὀධᅽຊࡀᑠࡉ࠸㸪ࡍࢃ࡞ࡕ㸪㧗࠸ᵓ㐀⢓ᛶ࡜㸪ࣈ࣮ࣜࢹ࢕ࣥࢢࡢᢚไࡀᚲせ࡜࡞ࡿࠋ㧗࠸ᵓ㐀⢓ᛶࢆ᭷ࡋ㸪ࣈ࣮ࣜࢹ࢕ࣥࢢࡀᢚไ࡛ࡁࡿPCࢢࣛ࢘ࢺࡣ㸪ṧ␃✵Ẽ࡟ࡼࡗ࡚ᵓ㐀≀ࡢ⪏ஂᛶࡀపୗࡍࡿᠱᛕࢆゎᾘ࡛ࡁࡿࠋࡉࡽ࡟㸪ୗࡾ໙㓄㒊࡟࠾ࡅࡿ୰㛫᤼Ẽཱྀࡀ୙せ࡜࡞ࡿࡇ࡜࠿ࡽ㸪ࢢࣛ࢘ࢺ࣮࣍ࢫࢆ௓ࡋࡓᵓ㐀≀ෆ㒊࡬ࡢỈศ౵ධࡢᠱᛕࡶゎᾘ࡛ࡁࡿࠋউঞ५ॺঞ५ॺ॥থॡজ‫৾ੵॺش‬ভ‫ؙ‬ਸ਼їћ৚३থএ४क़঒૛ધૐ‫ق‬їѕіќফіѕা‫ك‬〔論文〕PCࢢࣛ࢘ࢺࡢࡼ࠺࡞㧗⃰ᗘᠱ⃮ᾮࡣ㸪㝆అ್࡜ረᛶ⢓ᗘ࡟ࡼࡾὶື≉ᛶࢆ⾲ࡍࣅ࣒ࣥ࢞
ὶయ࡟㏆ఝ࡛ࡁࡿࠋࡓ࡜࠼ࡤ㸪㝆అ್ࡢ㧗࠸ᮦᩱ࡯࡝ඛὶࢀࡀᢚไ࡛ࡁ㸪ረᛶ⢓ᗘࡀప࠸ᮦᩱ࡯࡝࣏ࣥࣉὀධ᫬ࡢὀධᅽຊࢆపῶ࡛ࡁࡿࠋຍ⸨ࡽࡢὶయゎᯒ࡛ࡣ㸪㐺ᗘ࡞㝆అ್࡜ረᛶ⢓ᗘࢆ᭷ࡍࡿPCࢢࣛ࢘ࢺࢆ⏝࠸ࢀࡤ㸪ୗࡾ15ᗘ໙㓄࡛ࡶඛὶࢀࢆ⏕ࡌ࡟ࡃࡃ㸪ࢩ࣮ࢫ3)ෆࢆᆒ୍࡟඘ሸ࡛ࡁࡿࡇ࡜ࡀ♧၀ࡉࢀ࡚࠸ࡿ ࠋ ᮏ◊✲࡛ࡣ㸪ࡲࡎึࡵ࡟㸪ΰ࿴ᮦᩱࡀPCࢢࣛ࢘ࢺࡢὶື≉ᛶࡸࣈ࣮ࣜࢹ࢕ࣥࢢ࡟୚࠼ࡿᙳ㡪ࢆ  ᅗ㸫㸰 ྛ✀せᅉࡀὶື≉ᛶ࡟୚࠼ࡿᙳ㡪  ᐃࡋࡓ⤖ᯝࢆࡶ࡜࡟㸪Wallevikࡽࡀ4)ᥦၐࡍࡿࣞ࢜ࢢࣛࣇ ࢆά⏝ࡋ࡚㸪㧗࠸ᵓ㐀⢓ᛶࢆ᭷ࡋࡘࡘࣈ࣮ࣜࢹ࢕ࣥࢢࢆᢚไ࡛ࡁࡿPCࢢࣛ࢘ࢺࡢ㓄ྜࢆタィࡋࡓࠋᅗ㸫㸰࡟㸪⮬ᕫ඘ሸࢥࣥࢡ࣮ࣜࢺࡢ✵Ẽ㔞㸦Air㸧㸪ΰ⦎Ỉ㔞㸦Water㸧㸪ࢩࣜ࢝ࣇ࣮࣒ࣗ㸦SF㸧࠾ࡼࡧὶື໬๣㸦SP㸧ࡢῧຍ㔞ࡀረᛶ⢓ᗘ㸦ȝ㸧࡜㝆అ್㸦Ĳ0㸧࡟୚࠼ࡿᙳ㡪ࢆ୍ࡘࡢ4)ࢢࣛࣇୖ࡟⾲ࡋࡓࣞ࢜ࢢࣛࣇ ࢆ♧ࡍࠋࡓ࡜࠼ࡤ✵Ẽ㔞ࢆቑࡸࡍࡇ࡜࡛㸪㝆అ್ࢆኚ໬ࡉࡏࡎ࡟㸪ረᛶ⢓ᗘࢆపୗࡉࡏࡿࡇ࡜ࡀ࡛ࡁࡿࠋ୍᪉㸪ὶື໬๣ࢆቑࡸࡍࡇ࡜࡛㸪ረᛶ⢓ᗘࢆኚ໬ࡉࡏࡎ࡟㸪㝆అ್ࢆୗࡆࡿࡇ࡜ࡀ࡛ࡁࡿࠋࡇࡢࡼ࠺࡟㸪ࣞ࢜ࢢࣛࣇࢆά⏝ࡍࡿࡇ࡜࡛㸪ΰ࿴ᮦᩱࡢ✀㢮ࡸῧຍ㔞ࡀ」ᩘ
ࡢᮦᩱ≉ᛶ࡟୚࠼ࡿᙳ㡪ࢆྍどⓗ࡟ຠ⋡Ⰻࡃ⌮ゎࡍࡿࡇ࡜ࡀ࡛ࡁࡿࠋḟ࡟㸪ᐇ≀኱つᶍࡢヨ㦂యࢆ⏝࠸ࡓὀධᐇ㦂ࢆ⾜࠸㸪㧗࠸ᵓ㐀⢓ᛶࢆ᭷ࡍࡿPCࢢࣛ࢘ࢺࡢඛὶࢀ᢬ᢠᛶ㸪࣏ࣥࣉὀධᅽຊ࠾ࡼࡧࢩ࣮ࢫෆࡢ඘ሸᛶࢆ ᐃࡋࡓ⤖ᯝࢆሗ࿌ࡍࡿࠋ㸰㸬ヨ㦂ࡢᴫせ ヨ㦂㓄ྜ࣏ࣝࢺࣛࣥࢻࢭ࣓ࣥࢺ㸪࣏ࣜ࢝ࣝ࣎ࣥ㓟⣔ὶື໬๣࠾ࡼࡧ⾲㸫㸯࡟♧ࡍΰ࿴ᮦᩱࢆ஝ᘧΰྜࡋࡓ⢊య࡜Ỉ㐨Ỉࢆ㸪᧠ᢾᶵࢆ౑⏝ࡋ࡚2ศ㛫ΰ⦎ࡋ࡚PCࢢࣛ࢘ࢺࢆㄪ〇ࡋࡓ㸦Ỉ⢊యẚ40%㸧ࠋ⾲㸫㸯࡟ΰ࿴ᮦᩱࡢ✀㢮࡜⥲⢊య㔜㔞࡟ᑐࡍࡿ2ෆ๭ࡾࡢῧຍ⋡ࢆ♧ࡍࠋBETẚ⾲㠃✚20m /gࡢ㖔≀㉁㉸ᚤ⢊ᮎࢆ↓ᶵ⢊ᮎA࡜ࡋ㸪ࣈ࣮ࣞࣥẚ⾲㠃
✚8500cm2/gࡢ㖔≀㉁ᚤ⢊ᮎࢆ↓ᶵ⢊ᮎB࡜ࡋࡓࠋ⾲㸫㸯 ΰ࿴ᮦᩱࡢ✀㢮࡜ῧຍ㔞ῧຍ⋡㸦%㸧ΰ࿴ᮦᩱࡢ✀㢮↓ᶵ⢊ᮎ A3.20, 9.60㸦㖔≀㉁㉸ᚤ⢊ᮎ㸧↓ᶵ⢊ᮎ B3.20㸦㖔≀㉁ᚤ⢊ᮎ㸧࢔ࢡࣜࣝ࢔࣑ࢻ⣔0.10྾Ỉ࣏࣐࣮࣓ࣜࢳࣝࢭ࣮ࣝࣟࢫ⣔0.10, 0.18, 0.28, 0.38
ቑ⢓๣࢔ࢡࣜࣝ࢔࣑ࢻ⣔྾Ỉ࣏࣐࣮ࣜ࠾ࡼࡧ࣓ࢳࣝࢭ
࣮ࣝࣟࢫ⣔ቑ⢓๣ࡢ1%⁐ᾮࡢ⢓ᗘࡣࡑࢀࡒࢀ2200mPa㺃s࠾ࡼࡧ7mPa㺃s࡛࠶ࡗࡓࠋ
 㝆అ್࠾ࡼࡧረᛶ⢓ᗘࡢᐃඹ㍈஧㔜෇⟄ᆺࣞ࢜ࢫࢺࣞࢫ࣓࣮ࢱ࣮ࢆ⏝࠸࡚㸪ࡏࢇ᩿㏿ᗘࢆ 0s-1 ࠿ࡽ 50s-1 ࡲ࡛ᑐᩘୖ᪼ᚋ㸪50s-1
࠿ࡽ 0s-1 ࡲ࡛ᑐᩘୗ㝆ࡉࡏ࡚㸪ὶື᭤⥺ࢆᚓࡓࠋจ㞟ࡋ࡚࠸࡞࠸≧ែࡢ PC ࢢࣛ࢘ࢺࡢ㝆అ್࠾ࡼࡧረ
ᛶ⢓ᗘࢆᐃࡍࡿࡓࡵ࡟㸪ྠᵝࡢ᧯సࢆࡶ࠺୍ᅇ⧞ࡾ㏉ࡋ࡚㸪ᚓࡽࢀࡓὶື᭤⥺ࡢᡠࡾ᭤⥺ࢆ⏝࠸࡚㸪㝆అ್࠾ࡼࡧረᛶ⢓ᗘࢆồࡵࡓࠋᮏ◊✲࡛ࡣ㸪ሬᩱࡢࢱࣞᛶホ౯ 5)ࢆཧ⪃࡟ࡋ࡚㸪ࡏࢇ᩿㏿ᗘ 0.1s-1 ࡢ࡜ࡁࡢࡏࢇ᩿ᛂຊ್ࢆ㝆అ್࡜ࡋࡓࠋࡲࡓ㸪࣏ࣥࣉὀධ᫬࡟ PC ࢢࣛ࢘ࢺ࡟స⏝ࡍࡿࡏࢇ᩿㏿ᗘࢆ 30s1⛬ᗘ࡜⪃࠼࡚㸪ࡏࢇ᩿㏿ᗘ 30s-1 ࡢ࡜ࡁࡢࡏࢇ᩿ᛂຊ್ࢆࡏࢇ᩿㏿ᗘ࡛㝖ࡋࡓ್ࢆረᛶ⢓ᗘ࡜ࡋࡓࠋᅗ㸫㸱࡟ὶື᭤⥺ࡢᐃ౛ࢆ♧ࡍࠋヨᩱㄪ〇࠾ࡼࡧྛ✀

ᐃࡣ 20°C65%RH ࡢᜏᜏ‵ᐊ࡟࡚⾜࠸㸪3উঞ५ॺঞ५ॺ॥থॡজ‫৾ੵॺش‬ভ‫ؙ‬ਸ਼їћ৚३থএ४क़঒૛ધૐ‫ق‬їѕіќফіѕা‫ك‬㸱㸬ヨ㦂⤖ᯝ࡜⪃ᐹ ΰ࿴ᮦᩱࡀὶື≉ᛶ࡟୚࠼ࡿᙳ㡪ϭϴϬᅗ㸫㸴ࡣ㸪ΰ࿴ᮦᩱࡢῧຍࡀPCࢢࣛ࢘ࢺࡢረ
ᛶ⢓ᗘ࠾ࡼࡧ㝆అ್࡟୚࠼ࡿᙳ㡪ࢆ♧ࡋࡓࣞ࢜Ϭ͘ϭϬйϭϱϬϯ͘ϮϬйϵ͘ϲϬйࢢࣛࣇ࡛࠶ࡿࠋࡲࡎ㸪↓ᶵ⢊ᮎࡀὶື≉ᛶ࡟୚࠼ࡿᙳ㡪ࢆㄝ᫂ࡍࡿࠋྠ୍ῧຍ㔞㸦3.20%㸧࡛ࡣ㸪↓ᶵ⢊ᮎA࡜ẚ㍑ࡋ࡚㸪↓ᶵ⢊ᮎBࢆῧຍࡋࡓPC
ࢢࣛ࢘ࢺࡢረᛶ⢓ᗘ࡜㝆అ್ࡣ኱ࡁࡃ࡞ࡗࡓࠋ
↓ᶵ⢊ᮎࡢῧຍ㔞ࡢቑຍ࡟క࠸㸪PCࢢࣛ࢘ࢺ㝆అ್ 㻔㻼㼍㻕〔論文〕ࡢረᛶ⢓ᗘ࠾ࡼࡧ㝆అ್ࡣୖ᪼ࡋࡓࠋྠ➼ࡢ㝆ϭϮϬϵϬϯ͘ϮϬйϲϬϬ͘ϯϴйϬ͘ϭϬйϬ͘ϭϴй Ϭ͘ϮϴйϯϬఅ್ࡢሙྜ㸪↓ᶵ⢊ᮎB㸦3.20㸣㸧࡜ẚ㍑ࡋ࡚㸪Ϭ↓ᶵ⢊ᮎA㸦9.60%㸧ࡢረᛶ⢓ᗘࡣ኱ࡁࡃ࡞ࡗࡓࠋࡇࡢረᛶ⢓ᗘࡢᕪࡣ㸪จ㞟ࡋࡓ⢏Ꮚ㛫࡟ᣊ᮰ࡉϬϱϭϬረᛶ⢓ᗘ 㻔㻼㼍䞉㼟㻕ϭϱϮϬࢀࡓ୙ືỈ㔞ࡢᕪ࡟ࡼࡗ࡚ㄝ࡛᫂ࡁࡿࠋ⃰ཌ⣔ᅗ㸫㸴 ΰ࿴ᮦᩱࡀὶື≉ᛶ࡟୚࠼ࡿᙳ㡪ᠱ⃮ᾮࡣ㸪จ㞟ࡋࡓ⢏Ꮚ㛫࡟Ỉ⭷ࢆ⏕ᡂࡍࡿࡇ7)࡜࡛ὶື㸦ࡏࢇ᩿࡟క࠺㌾໬㸧ࡀྍ⬟࡜࡞ࡿ ࡀ㸪୙ືỈ㔞ࡀከ࠸࡯࡝ὶື࡟౑࠼ࡿỈࡀᑡ࡞ࡃ࡞ࡾ㸪ᠱ⃮ᾮࡣࡼࡾᙉᅛ࡞ᵓ㐀ࢆᙧᡂࡍࡿࠋ⢏Ꮚᚄࡀᑠࡉࡃ㸪༢఩య✚࠶ࡓࡾࡢ⢏Ꮚᩘࡀከ࠸࡯࡝㸪୙ືỈ໬ࡍࡿỈࡢ㔞ࡣከࡃ࡞ࡿࠋࡋࡓࡀࡗ࡚㸪ẚ⾲㠃✚ࡀ኱ࡁࡃ㸪ῧຍ㔞ࡢከ࠸↓ᶵ⢊ᮎAࡢ᪉ࡀረᛶ⢓ᗘࡀ㧗ࡃ࡞ࡗࡓ࡜⪃࠼ࡽࢀࡿࠋḟ࡟㸪᭷ᶵ⣔㧗ศᏊ࡛࠶ࡿ࢔ࢡࣜࣝ࢔࣑ࢻ⣔྾Ỉ࣏࣐࣮ࣜ࡜࣓ࢳࣝࢭ࣮ࣝࣟࢫ⣔ቑ⢓๣ࢆẚ㍑ࡍࡿࠋ
࢔ࢡࣜࣝ࢔࣑ࢻ⣔྾Ỉ࣏࣐࣮ࣜࡣᑡ࡞࠸ῧຍ㔞࡛PCࢢࣛ࢘ࢺࡢ㝆అ್࠾ࡼࡧረᛶ⢓ᗘࢆୖ᪼ࡉࡏࡓࠋ࣓ࢳࣝࢭ࣮ࣝࣟࢫ⣔ቑ⢓๣ࢆῧຍࡍࡿ࡜㸪ࢃࡎ࠿࡟㝆అ್ࡀపୗࡋࡓࠋ࣓ࢳࣝࢭ࣮ࣝࣟࢫ⣔ቑ⢓๣ࡢሙྜ㸪ᑡ࡞࠸ῧຍ㔞࡛㝆అ್ࡀపୗࡋࡓ⌮⏤࡜ࡋ࡚ࡣ㸪ࢭ࣓ࣥࢺ⢏Ꮚ㛫࡟࣓ࢳࣝࢭ࣮ࣝࣟࢫࡢࡼ࠺࡞㠀྾╔ᛶ࣏࣐࣮ࣜࡀᑡ㔞Ꮡᅾࡍࡿࡇ࡜࡛㸪ࡏࢇ᩿ࡀస⏝ࡋࡓ㝿࡟ࢭ࣓ࣥࢺ⢏Ꮚ㛫࡛⁥ࡾࡀ⏕ࡌࡸࡍࡃ࡞ࡗࡓࡓࡵ࡜⪃࠼ࡽࢀࡿࠋ
 ΰ࿴ᮦᩱࡀࣈ࣮ࣜࢹ࢕ࣥࢢ࡟୚࠼ࡿᙳ㡪ΰ࿴ᮦᩱࡀረᛶ⢓ᗘ࡜ࣈ࣮ࣜࢹ࢕ࣥࢢ⋡࡟୚࠼ࡿᙳ㡪ࢆᅗ㸫㸵࡟㸪㝆అ್࡜ࣈ࣮ࣜࢹ࢕ࣥࢢ⋡࡟୚࠼ࡿᙳ㡪ࢆᅗ㸫㸶࡟♧ࡍࠋࡲࡎ㸪↓ᶵ⢊ᮎࡢᙳ㡪ࢆẚ㍑ࡍࡿࠋྠ୍ῧຍ㔞㸦3.20%㸧࡛ࡣ㸪↓ᶵ⢊ᮎB
࡜ẚ㍑ࡋ࡚㸪↓ᶵ⢊ᮎAࡣࣈ࣮ࣜࢹ࢕ࣥࢢ⋡ࢆ኱ࡁࡃపῶࡍࡿࡇ࡜ࡀ࡛ࡁ㸪ረᛶ⢓ᗘ࡜㝆అ್ࡢୖ᪼ࡣᑠࡉ࠿ࡗࡓࠋࡉࡽ࡟㸪↓ᶵ⢊ᮎAࢆ9.60%ῧຍ࡜ࡍࡿࡇ࡜࡛㸪ࣈ࣮ࣜࢹ࢕ࣥࢢ⋡ࡣ0.0%࡟࡞ࡗࡓࡀ㸪㝆అ್࡜ረᛶ⢓ᗘࡣ኱ࡁࡃୖ᪼ࡋࡓࠋࣈ࣮ࣜࢹ࢕ࣥࢢࡣ⢏Ꮚࡀỿ㝆ศ㞳ࡍࡿ⌧㇟࡛࠶ࡾ㸪↓ᶵ⢊ᮎࡢ୚࠼ࡿᙳ㡪ࡢᕪࡣ௨ୗࡢStokesᘧ࡛ㄝ࡛᫂ࡁࡿࠋ

ut

U s  U gD 2    (1)18Pࡇࡇ࡛ࡣ㸪ut㸸⢏Ꮚࡢỿ㝆㏿ᗘ㸪D㸸⢏Ꮚࡢ┤ᚄ㸪t㸸᫬㛫㸪ȡ㸸ΰ⦎Ỉࡢᐦᗘ㸪ȡs㸸⢏Ꮚࡢᐦᗘ㸪ȝ㸸PCࢢࣛ࢘ࢺࡢረᛶ⢓ᗘ࡜ࡍࡿࠋ↓ᶵ⢊ᮎB࡜ẚ࡭࡚㸪↓ᶵ⢊ᮎAࡣ⢏Ꮚᚄࡀᑠࡉ࠸ࡓࡵ㸪ỿ㝆㏿ᗘࡀ㐜ࡃ࡞ࡾ㸪ࣈ࣮ࣜࢹ࢕ࣥࢢ⋡ࡀᑠࡉࡃ࡞ࡗࡓ࡜⪃࠼ࡽࢀࡿࠋḟ࡟᭷ᶵ⣔㧗ศᏊࡢᙳ㡪ࢆẚ㍑ࡍࡿࠋ࢔ࢡࣜࣝ࢔࣑ࢻ⣔྾Ỉ࣏࣐࣮ࣜࢆῧຍࡋࡓሙྜ㸪ࣈ࣮ࣜࢹ࢕ࣥࢢ⋡ࡣᑠࡉࡃ࡞ࡗࡓࡀ㸪ረᛶ⢓ᗘ࡜㝆అ್ࡣ኱ࡁࡃ࡞ࡗࡓࠋ࣓ࢳࣝࢭ࣮ࣝࣟࢫ⣔ቑ⢓๣ࢆῧຍࡋࡓሙྜ㸪ῧຍ㔞ࡢቑຍ࡟ࡼࡾࣈ࣮ࣜࢹ࢕ࣥࢢ⋡ࡣపୗࡋࡓࡀ㸪ረᛶ⢓ᗘ࡜㝆అ್ࡢኚ໬ࡣᑠࡉ࠿ࡗࡓࠋ᭷ᶵ⣔㧗ศᏊ࡟ࡼࡿࣈ࣮ࣜࢹ࢕ࣥࢢᢚไࡣ㸪ඛ㏙ࡋࡓ⢏Ꮚࡢỿ㝆ศ㞳ࡢᢚไࡼࡾࡶ㸪࣏࣐࣮ࣜࡢỈ⣲⤖ྜ࡟ࡼࡾ࣏࣐࣮ࣜ⮬యࡶࡋࡃࡣ࣏࣐࣮ࣜ㛫࡟వ๫Ỉࡀᤕᤊࡉࢀࡿࡇ࡜ࡢ᪉ࡀ୺せᅉ࡜࡞ࡿࠋᮏ◊✲